So to find which of the given have the biggest magnitude, we have to understand what magnitude is.
Magnitude is basically the size of the number, aka the absolute value. So, to compare all of these, we have to find the absolute value first.
1. 33 dollars and 52 dollars
2. 14 ft and 23 ft
3. 24.6 pounds and 24.58 pounds
4. 11.25 degrees and 11 degrees
Now we can compare them ^-^
1. 52>33, so the absolute value of -52 has a greater magnitude than 33
2. 23>14, so 23 is still larger than the absolute value of -14
3. 24.6>24.8, so the absolute value of -24.6 is greater than the absolute value of -24.8
4. 11.25>11 so the absolute value of 11.25 is greater than 11
ANS:
1. -52 dollars
2. 23 ft
3. -24.6 pounds
4. -11.25 degrees
Hope this helped ^-^ If it did, be sure to hit that "best answer" button :3